#include<bits/stdc++.h>
using namespace std;
#define ld long double
#define ll long long
const ld INF=2e9;
const ll MAXN=1e5+6;
const ll MAXK=202;
ll dp[MAXN][2],a[MAXN];
int last[MAXN][MAXK];
struct line
{
ld a,b;
ll pos;
ld llersect(line const& other)
{
if(a==other.a)return -INF;
return (ld)(other.b-b)/(a-other.a);
}
ld gety(ld x)
{
return a*x+b;
}
};
struct ConvexHull
{
deque<pair<line,double> >dq;
void add(line l)
{
while(!dq.empty()&&l.llersect(dq.back().first)<=dq.back().second)
{
dq.pop_back();
}
if(dq.empty())dq.push_back({l,-INF});
else dq.push_back({l,l.llersect(dq.back().first)});
}
pair<ld,int> query(ld x)
{
while(dq.size()>1&&dq[1].second<=x)dq.pop_front();
//cout<<dq.front().first.a<<" "<<dq.front().first.b<<endl;
return {dq.front().first.gety(x),dq.front().first.pos};
}
}ch[2];
ll n,k;
ll pref[MAXN];
int main()
{
cin>>n>>k;
for(ll i=1;i<=n;i++)
{
cin>>a[i];
pref[i]=pref[i-1]+a[i];
}
/*for(ll i=0;i<=n;i++)
{
for(ll j=0;j<=k+1;j++)dp[i][j]=-INF;
}*/
//for(ll i=1;i<=k+1;i++)ch[i].add({0,-INF});
ch[0].add({0,0,0});
for(int j=1;j<=k+1;j++)
{
ch[j%2].dq.clear();
ch[j%2].add({0,-INF,-1});
for(int i=1;i<=n;i++)
{
tie(dp[i][j%2],last[i][j])=ch[1-j%2].query(pref[i]);
//cout<<i<<" "<<j<<" "<<last[i][j]<<endl;
}
for(int i=1;i<=n;i++)
{
ch[j%2].add({(ld)pref[i],(ld)dp[i][j%2]-pref[i]*pref[i],i});
}
}
cout<<dp[n][1-k%2]<<endl;
vector<ll>v;
ll n1=n;
for(ll i=k;i>=1;i--)
{
v.push_back(last[n1][i]);
//cout<<n1<<" "<<i+1<<endl;
n1=last[n1][i];
}
/*
for(ll i=k;i>=1;i--)
{
for(ll l1=l-1;l1>=0;l1--)
{
if(dp[l1][i]+(pref[l]-pref[l1])*pref[l1]==dp[l][i+1])
{
v.push_back(l1);
l=l1;
break;
}
}
}*/
for(auto xd:v)
{
if(xd>=1&&xd<=n)cout<<xd<<" ";
}
cout<<endl;
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
364 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
364 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
492 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
1260 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
9 ms |
9196 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
84 ms |
89964 KB |
Unexpected end of file - int32 expected |
2 |
Halted |
0 ms |
0 KB |
- |